1.3 problem 3

Internal problem ID [6566]

Book: First order enumerated odes
Section: section 1
Problem number: 3.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {y^{\prime }-x=0} \end {gather*}

Solution by Maple

Time used: 0.001 (sec). Leaf size: 11

dsolve(diff(y(x),x)=x,y(x), singsol=all)
 

\[ y \relax (x ) = \frac {x^{2}}{2}+c_{1} \]

Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 15

DSolve[y'[x]==x,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to \frac {x^2}{2}+c_1 \\ \end{align*}